Research Article
Latest Inversion-Free Iterative Scheme for Solving a Pair of Nonlinear Matrix Equations
Table 3
Comparison of Algorithm 1 with basic fixed point iteration for different dimension.
| | Dim | Algo 1 | BFP | Min(eig) |
| | 3 | No. of iter. | 17 | 19 | 0.7646, 0.7620 | | Error () | 0.6836 | 0.48240 | | Av. CPU time | 0.0064 | 0.0098 |
| | 5 | No. of iter. | 11 | 13 | 0.8689, 0.8729 | | Error () | 0.1686 | 0.3111 | | Av. CPU time | 0.0062 | 0.0096 |
| | 8 | No. of iter. | 9 | 10 | 0.9175, 0.9238 | | Error () | 0.8159 | 0.48613 | | Av. CPU time | 0.0072 | 0.0101 |
| | 12 | No. of iter. | 8 | 9 | 0.9450, 0.9497 | | Error () | 0.3285 | 0.0948 | | Av. CPU time | 0.0073 | 0.0104 |
| | 20 | No. of iter. | 7 | 7 | 0.9672, 0.9701 | | Error () | 0.2388 | 0.9457 | | Av. CPU time | 0.0077 | 0.0109 |
| | 32 | No. of iter. | 6 | 7 | 0.9796, 0.9814 | | Error () | 0.7179 | 0.0356 | | Av. CPU time | 0.0078 | 0.0116 |
| | 64 | No. of iter. | 6 | 6 | 0.9899, 0.9907 | | Error () | 0.1332 | 0.48082 | | Av. CPU time | 0.0124 | 0.0168 |
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